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Finding the Third Proportional to 90,315 and 140,643

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Solution

The third proportional to 90,315 and 140,643 is: 219,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,315 : 140,643 = 140,643 : x
  2. Step 2: Convert to fraction form
    90,315/140,643 = 140,643/x
  3. Step 3: Cross multiply
    90,315x = 140,643 × 140,643
  4. Step 4: Simplify right side
    90,315x = 19,780,453,449
  5. Step 5: Solve for x
    x = 19,780,453,449/90,315
  6. Step 6: Final answer
    x = 219,016.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.